Nonadiabatic transition : concepts, basic theories and applications / by Hiroki Nakamura.

Format:

Book

Author/Creator:

Nakamura, Hiroki.

Language:

English

Subjects (All):

Charge exchange.

Phase transformations (Statistical physics).

Physical Description:

1 online resource (xi, 376 p. ) ill.

Edition:

1st ed.

Place of Publication:

River Edge, NJ : World Scientific, c2002.

Language Note:

English

Summary:

An exploration of the concepts, basic theories and applications of nonadiabatic transition. Nonadiabatic transition is a multidisciplinary concept and phenomenon, constituting a fundamental mechanism of state and phase changes in various dynamical processes of physics, chemistry and biology.

Nonadiabatic transition is a highly multidisciplinary concept and phenomenon, constituting a fundamental mechanism of state and phase changes in various dynamical processes of physics, chemistry and biology, such as molecular dynamics, energy relaxation, chemical reaction, and electron and proton transfer. Control of molecular processes by laser fields is also an example of time-dependent nonadiabatic transition. Thus, nonadiabatic transition represents one of the very basic mechanisms of the mutability of the world. This work has been written because the complete analytical solutions to the basic problem have recently been formulated by the author.

Contents:

ch. 1. Introduction: what is "nonadiabatic transition"?

ch. 2. Multi-disciplinarity. 2.1. Physics. 2.2. Chemistry. 2.3. Biology. 2.4. Economics

ch. 3. Historical survey of theoretical studies. 3.1. Landau-Zener-Stueckelberg theory. 3.2. Rosen-Zener-Demkov theory. 3.3. Nikitin's exponential model. 3.4. Nonadiabatic transition due to Coriolis coupling and dynamical state representation

ch. 4. Background mathematics. 4.1. Wentzel-Kramers-Brillouin semiclassical theory. 4.2. Stokes phenomenon

ch. 5. Basic two-state theory for time-independent processes. 5.1. Exact solutions of the linear curve crossing problems. 5.2. Complete semiclassical solutions of general curve crossing problems. 5.3. Non-curve-crossing case. 5.4. Exponential potential model. 5.5. Mathematical implications

ch. 6. Basic two-state theory for time-dependent processes. 6.1. Exact solution of quadratic potential problem. 6.2. Semiclassical solution in general case. 6.3. Other exactly solvable models

ch. 7. Two-state problems. 7.1. Diagrammatic technique. 7.2. Inelastic scattering. 7.3. Elastic scattering with resonances and predissociation. 7.4. Perturbed bound states. 7.5. Time-dependent periodic crossing problems

ch. 8. Effects of dissipation and fluctuation

ch. 9. Multi-channel problems. 9.1. Exactly solvable models. 9.2. Semiclassical theory of time-independent multi-channel problems. 9.3. Time-dependent problems

ch. 10. Multi-dimensional problems. 10.1. Classification of surface crossing. 10.2. Reduction to one-dimensional multi-channel problem. 10.3. Semiclassical propagation method

ch. 11. Complete reflection and bound states in the continuum. 11.1. One NT-type crossing case. 11.2. Diabatically avoided crossing (DAC) case. 11.3. Two NT-type crossings case

ch. 12. New mechanism of molecular switching. 12.1. Basic idea. 12.2. One-dimensional model. 12.3. Two-dimensional model. 12.4. Numerical examples

ch. 13. Control of nonadiabatic processes by an external field. 13.1. Control of nonadiabatic transitions by periodically sweeping external field. 13.2. Basic theory. 13.3. Numerical examples. 13.4. Laser control of photodissociation with use of the complete reflection phenomenon

ch. 14. Conclusions: future perspectives.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 361-370) and index.

ISBN:

9789812778406

9812778403

OCLC:

879025085